premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not quiet or not funny is either creative or not curious and vice versa.
If someone is either curious or not wise then lucy is both old and generous and vice versa.
If someone is both not calm and not curious then fred is not wise or not creative and vice versa.
If someone is either not kind or h... | Fred is not kind. | entailment | (![X]:((~quiet(X)<~>~funny(X))<=>(creative(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>~wise(X))))<=>((old(lucy)&generous(lucy))))&
((?[X]:((~calm(X)&~curious(X))))<=>((~wise(fred)|~creative(fred))))&
((?[X]:((~kind(X)<~>happy(X))))<=>(brave(john)))&
(![X]:((~calm(X)&~funny(X))<=>~quiet(X)))&
(![X]:((old(X)&~humble(X))<... | ~kind(fred) | [
"p3",
"p6",
"p7",
"p10",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2127212790068486938401615
% SZS output start Proof for 2127212790068486938401615
4. ? [X0] : (~kind(X0) <~> happy(X0)) <=> brave(john) [input p3]
7. ! [X0] : ((kind(X0) | old(X0)) <=> (~curious(X0) <~> patient(X0))) [input p6]
8. ! [X0] : ((~wise(X0) | ~patient(X0)) => ~happy(X0)) [input ... | 0 |
If paul is either not calm or not creative then someone is patient and vice versa.
Everyone who is both strong and happy is not creative or funny and vice versa.
Everyone who is both generous and humble is both not happy and not kind.
If mary is both kind and not brave then lucy is both kind and not calm and vice versa... | Fred is strong. | contradiction | (((~calm(paul)<~>~creative(paul)))<=>(?[X]:(patient(X))))&
(![X]:((strong(X)&happy(X))<=>(~creative(X)|funny(X))))&
(![X]:((generous(X)&humble(X))=>(~happy(X)&~kind(X))))&
(((kind(mary)&~brave(mary)))<=>((kind(lucy)&~calm(lucy))))&
(((happy(john)<~>quiet(john)))<=>(?[X]:((~strong(X)<~>~happy(X)))))&
(![X]:(kind(X)<=>(~... | strong(fred) | [
"p1",
"p2",
"p5",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6880729215935053526862118
% SZS output start Proof for 6880729215935053526862118
2. ! [X0] : ((happy(X0) & strong(X0)) <=> (funny(X0) | ~creative(X0))) [input p1]
3. ! [X0] : ((humble(X0) & generous(X0)) => (~kind(X0) & ~happy(X0))) [input p2]
6. ! [X0] : (kind(X0) <=> (~generous(X0) | ~b... | 0 |
Everyone who is either not funny or humble is either not creative or not brave.
Everyone who is not happy or strong is both patient and generous.
If paul is both strong and not happy then john is both wise and strong.
Everyone who is happy is calm or not wise.
If someone is not calm then susan is either not tall or not... | Alice is not old. | entailment | (![X]:((~funny(X)<~>humble(X))=>(~creative(X)<~>~brave(X))))&
(![X]:((~happy(X)|strong(X))=>(patient(X)&generous(X))))&
(((strong(paul)&~happy(paul)))=>((wise(john)&strong(john))))&
(![X]:(happy(X)=>(calm(X)|~wise(X))))&
((?[X]:(~calm(X)))<=>((~tall(susan)<~>~wise(susan))))&
(![X]:(creative(X)<=>brave(X)))&
(![X]:(old(... | ~old(alice) | [
"p0",
"p5",
"p6",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 42139821529023960663588
% SZS output start Proof for 42139821529023960663588
1. ! [X0] : ((~funny(X0) <~> humble(X0)) => (~creative(X0) <~> ~brave(X0))) [input p0]
6. ! [X0] : (creative(X0) <=> brave(X0)) [input p5]
7. ! [X0] : (old(X0) <=> ~funny(X0)) [input p6]
9. ! [X0] : ((calm(X0) | ... | 0 |
Everyone who is not happy or kind is wise or rich and vice versa.
Everyone who is not happy is creative or not funny and vice versa.
Everyone who is happy or not generous is tall and vice versa.
If someone is both not old and not wise then fred is happy.
Everyone who is either not generous or not happy is either humble... | Mary is not tall. | contradiction | (![X]:((~happy(X)|kind(X))<=>(wise(X)|rich(X))))&
(![X]:(~happy(X)<=>(creative(X)|~funny(X))))&
(![X]:((happy(X)|~generous(X))<=>tall(X)))&
((?[X]:((~old(X)&~wise(X))))=>(happy(fred)))&
(![X]:((~generous(X)<~>~happy(X))=>(humble(X)<~>~brave(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(wise(X)<=>(~... | ~tall(mary) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4942026858708453809458758
% SZS output start Proof for 4942026858708453809458758
3. ! [X0] : ((~generous(X0) | happy(X0)) <=> tall(X0)) [input p2]
24. happy(mary) & humble(mary) [input p23]
25. ~tall(mary) [input hypothesis]
37. ! [X0] : (((~generous(X0) | happy(X0)) | ~tall(X0)) & (tall(... | 0 |
Everyone who is rich or strong is calm.
Everyone who is both not brave and patient is either not strong or not creative and vice versa.
If susan is both strong and brave then someone is either creative or not calm and vice versa.
If someone is kind then alice is both happy and not funny and vice versa.
Everyone who is ... | Susan is wise. | contradiction | (![X]:((rich(X)|strong(X))=>calm(X)))&
(![X]:((~brave(X)&patient(X))<=>(~strong(X)<~>~creative(X))))&
(((strong(susan)&brave(susan)))<=>(?[X]:((creative(X)<~>~calm(X)))))&
((?[X]:(kind(X)))<=>((happy(alice)&~funny(alice))))&
(![X]:(~curious(X)<=>(old(X)&calm(X))))&
(![X]:(brave(X)<=>~quiet(X)))&
(![X]:(wise(X)=>(patien... | wise(susan) | [
"p0",
"p1",
"p2",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3397113001417089122841610
% SZS output start Proof for 3397113001417089122841610
1. ! [X0] : ((strong(X0) | rich(X0)) => calm(X0)) [input p0]
2. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (~strong(X0) <~> ~creative(X0))) [input p1]
3. (brave(susan) & strong(susan)) <=> ? [X0] : (creative(X0... | 0 |
If someone is not old or not tall then someone is both kind and not calm and vice versa.
Everyone who is either not brave or strong is not strong or wise and vice versa.
Everyone who is both strong and not calm is both not funny and quiet.
Everyone who is not tall or not brave is both not humble and not tall.
If john i... | Mary is patient. | neutral | ((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>(~strong(X)|wise(X))))&
(![X]:((strong(X)&~calm(X))=>(~funny(X)&quiet(X))))&
(![X]:((~tall(X)|~brave(X))=>(~humble(X)&~tall(X))))&
(((~wise(john)<~>~patient(john)))<=>(?[X]:(~creative(X))))&
((?[X]:((tall(X)|~funny(X))))=>(?[X... | patient(mary) | [] | null | 0 |
Everyone who is either quiet or wise is both not brave and not tall and vice versa. If someone is either tall or not tall then fred is both not old and not brave. If mary is both not creative and tall then someone is not strong. Everyone who is both kind and not calm is not brave or patient and vice versa. Everyone who... | Fred is not curious. | entailment | (![X]:((quiet(X)<~>wise(X))<=>(~brave(X)&~tall(X))))&
((?[X]:((tall(X)<~>~tall(X))))=>((~old(fred)&~brave(fred))))&
(((~creative(mary)&tall(mary)))=>(?[X]:(~strong(X))))&
(![X]:((kind(X)&~calm(X))<=>(~brave(X)|patient(X))))&
(![X]:((~rich(X)<~>~tall(X))<=>(strong(X)|generous(X))))&
(![X]:((~tall(X)<~>wise(X))<=>(~quiet... | ~curious(fred) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8452845072127784819186603
% SZS output start Proof for 8452845072127784819186603
1. ! [X0] : ((quiet(X0) <~> wise(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
2. ? [X0] : (tall(X0) <~> ~tall(X0)) => (~brave(fred) & ~old(fred)) [input p1]
5. ! [X0] : ((~rich(X0) <~> ~tall(X0)) <=> (genero... | 0 |
Everyone who is old or not patient is both not old and patient.
Everyone who is not calm is not patient or not creative.
Everyone who is not wise or creative is not kind or strong.
Everyone who is not calm or not old is either happy or not kind and vice versa.
Everyone who is not curious is not humble or not rich and v... | John is kind. | entailment | (![X]:((old(X)|~patient(X))=>(~old(X)&patient(X))))&
(![X]:(~calm(X)=>(~patient(X)|~creative(X))))&
(![X]:((~wise(X)|creative(X))=>(~kind(X)|strong(X))))&
(![X]:((~calm(X)|~old(X))<=>(happy(X)<~>~kind(X))))&
(![X]:(~curious(X)<=>(~humble(X)|~rich(X))))&
(![X]:((creative(X)<~>~rich(X))=>(patient(X)&~old(X))))&
(((~calm(... | kind(john) | [
"p0",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7894440203622188157753311
% SZS output start Proof for 7894440203622188157753311
1. ! [X0] : ((~patient(X0) | old(X0)) => (patient(X0) & ~old(X0))) [input p0]
15. ! [X0] : ((kind(X0) & strong(X0)) <=> ~tall(X0)) [input p14]
21. ~old(john) <~> tall(john) [input p20]
22. ~kind(john) [input ... | 0 |
Everyone who is wise is both tall and not rich and vice versa.
If someone is humble then lucy is either humble or quiet.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who is curious or creative is tall.
Everyone who is generous is curious and vice versa... | Fred is brave. | neutral | (![X]:(wise(X)<=>(tall(X)&~rich(X))))&
((?[X]:(humble(X)))=>((humble(lucy)<~>quiet(lucy))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:((~generous(X)&~calm(X))<=>(~happy(X)|~generous(X))))&
(![... | brave(fred) | [] | null | 0 |
Everyone who is tall is not humble.
If someone is not creative or not wise then lucy is happy and vice versa.
If someone is happy then lucy is generous or strong and vice versa.
If mary is not kind or quiet then someone is either generous or wise and vice versa.
Everyone who is not old is generous.
If paul is both not ... | Fred is tall. | contradiction | (![X]:(tall(X)=>~humble(X)))&
((?[X]:((~creative(X)|~wise(X))))<=>(happy(lucy)))&
((?[X]:(happy(X)))<=>((generous(lucy)|strong(lucy))))&
(((~kind(mary)|quiet(mary)))<=>(?[X]:((generous(X)<~>wise(X)))))&
(![X]:(~old(X)=>generous(X)))&
(((~happy(paul)&~calm(paul)))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((old(X)|~funny(X)... | tall(fred) | [
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 77366690851963328180295
% SZS output start Proof for 77366690851963328180295
13. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (patient(X0) & ~tall(X0))) [input p12]
15. ! [X0] : ((old(X0) | ~creative(X0)) => (funny(X0) & wise(X0))) [input p14]
16. ? [X0] : (tall(X0) | funny(X0)) => (old(lu... | 0 |
If someone is both generous and not rich then susan is strong.
If susan is not brave then lucy is both not patient and patient.
Everyone who is either humble or rich is either humble or not creative and vice versa.
If mary is old then someone is not quiet.
If someone is either quiet or generous then john is happy.
If s... | Lucy is not generous. | neutral | ((?[X]:((generous(X)&~rich(X))))=>(strong(susan)))&
((~brave(susan))=>((~patient(lucy)&patient(lucy))))&
(![X]:((humble(X)<~>rich(X))<=>(humble(X)<~>~creative(X))))&
((old(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(happy(john)))&
((?[X]:(~generous(X)))<=>(?[X]:((funny(X)|kind(X)))))&
((calm(paul)... | ~generous(lucy) | [] | null | 0 |
Everyone who is either not curious or wise is both funny and not humble and vice versa.
Everyone who is tall or brave is not kind.
If someone is either generous or kind then alice is either strong or not strong.
Everyone who is calm is funny.
Everyone who is funny or not wise is either wise or quiet.
Everyone who is ei... | Alice is not tall. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))&
(![X]:((tall(X)<~>... | ~tall(alice) | [] | null | 0 |
If mary is both not patient and old then susan is not tall and vice versa.
Everyone who is either not patient or creative is either not brave or not kind and vice versa.
If fred is both brave and creative then someone is both not quiet and not old and vice versa.
If someone is either not old or curious then fred is bot... | Mary is not humble. | contradiction | (((~patient(mary)&old(mary)))<=>(~tall(susan)))&
(![X]:((~patient(X)<~>creative(X))<=>(~brave(X)<~>~kind(X))))&
(((brave(fred)&creative(fred)))<=>(?[X]:((~quiet(X)&~old(X)))))&
((?[X]:((~old(X)<~>curious(X))))=>((~patient(fred)&humble(fred))))&
(![X]:((happy(X)|~rich(X))=>(~generous(X)<~>~brave(X))))&
(((~old(alice)|hu... | ~humble(mary) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4395711647686619599714123
% SZS output start Proof for 4395711647686619599714123
4. ? [X0] : (~old(X0) <~> curious(X0)) => (humble(fred) & ~patient(fred)) [input p3]
7. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (~strong(X0) | rich(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> ... | 0 |
Everyone who is quiet is both tall and generous and vice versa. If lucy is both old and wise then someone is both not brave and creative. Everyone who is old or not humble is both not strong and not tall and vice versa. If fred is generous then alice is both not kind and creative. Everyone who is both brave and not ric... | Paul is quiet. | entailment | (![X]:(quiet(X)<=>(tall(X)&generous(X))))&
(((old(lucy)&wise(lucy)))=>(?[X]:((~brave(X)&creative(X)))))&
(![X]:((old(X)|~humble(X))<=>(~strong(X)&~tall(X))))&
((generous(fred))=>((~kind(alice)&creative(alice))))&
(![X]:((brave(X)&~rich(X))=>(~calm(X)|~kind(X))))&
(![X]:((humble(X)|~strong(X))<=>(calm(X)<~>funny(X))))&
... | quiet(paul) | [
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7881229522926535501100358
% SZS output start Proof for 7881229522926535501100358
16. ? [X0] : ~rich(X0) <=> quiet(paul) [input p15]
18. brave(mary) & ~quiet(mary) [input p17]
20. ~quiet(mary) <~> rich(mary) [input p19]
25. ~quiet(paul) [input hypothesis]
62. (? [X0] : ~rich(X0) | ~quiet(p... | 0 |
If someone is happy then john is either funny or wise and vice versa.
Everyone who is tall or not generous is kind and vice versa.
If paul is brave or not old then someone is not curious or not creative.
Everyone who is not kind is either not kind or not old.
Everyone who is both not quiet and humble is both patient an... | Mary is not kind. | contradiction | ((?[X]:(happy(X)))<=>((funny(john)<~>wise(john))))&
(![X]:((tall(X)|~generous(X))<=>kind(X)))&
(((brave(paul)|~old(paul)))=>(?[X]:((~curious(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~kind(X)<~>~old(X))))&
(![X]:((~quiet(X)&humble(X))<=>(patient(X)&~patient(X))))&
(![X]:(~strong(X)<=>(generous(X)&~calm(X))))&
(![X]:((pati... | ~kind(mary) | [
"p1",
"p5",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6920564604814344863381681
% SZS output start Proof for 6920564604814344863381681
2. ! [X0] : ((~generous(X0) | tall(X0)) <=> kind(X0)) [input p1]
6. ! [X0] : (~strong(X0) <=> (~calm(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~patient(X0) | patient(X0)) => strong(X0)) [input p6]
20. ~ca... | 0 |
Everyone who is either generous or not happy is both calm and strong and vice versa. If mary is either rich or happy then susan is not happy and vice versa. If someone is either not creative or happy then someone is either funny or not wise. Everyone who is not calm or not funny is either not old or old and vice versa.... | Susan is not humble. | neutral | (![X]:((generous(X)<~>~happy(X))<=>(calm(X)&strong(X))))&
(((rich(mary)<~>happy(mary)))<=>(~happy(susan)))&
((?[X]:((~creative(X)<~>happy(X))))=>(?[X]:((funny(X)<~>~wise(X)))))&
(![X]:((~calm(X)|~funny(X))<=>(~old(X)<~>old(X))))&
(((~quiet(john)|~happy(john)))=>(wise(alice)))&
(![X]:((happy(X)<~>~kind(X))=>(~strong(X)|... | ~humble(susan) | [] | null | 0 |
If john is not humble or not curious then someone is either not calm or not creative.
Everyone who is either not strong or patient is tall.
If someone is not generous or not rich then someone is either not strong or generous.
Everyone who is funny is both humble and curious and vice versa.
Everyone who is not calm or p... | Lucy is creative. | entailment | (((~humble(john)|~curious(john)))=>(?[X]:((~calm(X)<~>~creative(X)))))&
(![X]:((~strong(X)<~>patient(X))=>tall(X)))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(funny(X)<=>(humble(X)&curious(X))))&
(![X]:((~calm(X)|patient(X))<=>(~tall(X)<~>~strong(X))))&
(![X]:((~strong(X)&~tall(X))... | creative(lucy) | [
"p3",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 228563482554212431956350
% SZS output start Proof for 228563482554212431956350
4. ! [X0] : (funny(X0) <=> (curious(X0) & humble(X0))) [input p3]
9. ! [X0] : ((~kind(X0) <~> ~curious(X0)) => (creative(X0) & ~happy(X0))) [input p8]
10. ? [X0] : (funny(X0) | ~humble(X0)) => (rich(susan) & ~r... | 0 |
Everyone who is quiet is kind. Everyone who is both not calm and calm is either not rich or not patient. Everyone who is both not quiet and not rich is both generous and curious. If someone is both kind and not old then someone is tall or creative. Everyone who is either creative or tall is either funny or not happy. I... | Fred is not old. | neutral | (![X]:(quiet(X)=>kind(X)))&
(![X]:((~calm(X)&calm(X))=>(~rich(X)<~>~patient(X))))&
(![X]:((~quiet(X)&~rich(X))=>(generous(X)&curious(X))))&
((?[X]:((kind(X)&~old(X))))=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((creative(X)<~>tall(X))=>(funny(X)<~>~happy(X))))&
(((~generous(lucy)&~creative(lucy)))<=>((~wise(alice)&tall(a... | ~old(fred) | [] | null | 0 |
Everyone who is both not creative and strong is quiet or not creative and vice versa.
If someone is not generous or brave then mary is either humble or not curious.
If someone is funny or wise then susan is generous.
If alice is not creative or not quiet then someone is wise.
If someone is not quiet then mary is both n... | Mary is humble. | entailment | (![X]:((~creative(X)&strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~generous(X)|brave(X))))=>((humble(mary)<~>~curious(mary))))&
((?[X]:((funny(X)|wise(X))))=>(generous(susan)))&
(((~creative(alice)|~quiet(alice)))=>(?[X]:(wise(X))))&
((?[X]:(~quiet(X)))<=>((~brave(mary)&~strong(mary))))&
((?[X]:(~wise(X)))<=>(?[X]:... | humble(mary) | [
"p1",
"p6",
"p10",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6338697925023218582488221
% SZS output start Proof for 6338697925023218582488221
2. ? [X0] : (brave(X0) | ~generous(X0)) => (humble(mary) <~> ~curious(mary)) [input p1]
7. ! [X0] : ((~humble(X0) <~> curious(X0)) => (~brave(X0) & ~calm(X0))) [input p6]
11. ! [X0] : ((~brave(X0) | ~kind(X0)... | 0 |
Everyone who is either not happy or not generous is not rich. If paul is quiet or not old then lucy is both not patient and old. Everyone who is either quiet or not generous is either strong or not brave and vice versa. If someone is both rich and tall then paul is not happy or humble. Everyone who is both brave and ki... | Paul is strong. | entailment | (![X]:((~happy(X)<~>~generous(X))=>~rich(X)))&
(((quiet(paul)|~old(paul)))=>((~patient(lucy)&old(lucy))))&
(![X]:((quiet(X)<~>~generous(X))<=>(strong(X)<~>~brave(X))))&
((?[X]:((rich(X)&tall(X))))=>((~happy(paul)|humble(paul))))&
(![X]:((brave(X)&kind(X))<=>~quiet(X)))&
((?[X]:(strong(X)))<=>((funny(susan)<~>~funny(sus... | strong(paul) | [
"p2",
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3150650857868783803300663
% SZS output start Proof for 3150650857868783803300663
3. ! [X0] : ((quiet(X0) <~> ~generous(X0)) <=> (strong(X0) <~> ~brave(X0))) [input p2]
5. ! [X0] : ((kind(X0) & brave(X0)) <=> ~quiet(X0)) [input p4]
9. ! [X0] : (~strong(X0) <=> (~funny(X0) & ~generous(X0)))... | 0 |
Everyone who is either not strong or not calm is not kind.
If someone is generous then fred is patient or humble and vice versa.
If john is either old or funny then alice is old and vice versa.
If someone is brave or patient then someone is either not strong or not patient.
If susan is brave then mary is calm.
Everyone... | John is not calm. | neutral | (![X]:((~strong(X)<~>~calm(X))=>~kind(X)))&
((?[X]:(generous(X)))<=>((patient(fred)|humble(fred))))&
(((old(john)<~>funny(john)))<=>(old(alice)))&
((?[X]:((brave(X)|patient(X))))=>(?[X]:((~strong(X)<~>~patient(X)))))&
((brave(susan))=>(calm(mary)))&
(![X]:(patient(X)=>(~wise(X)<~>curious(X))))&
((?[X]:((rich(X)&~quiet(... | ~calm(john) | [] | null | 0 |
Everyone who is either tall or not old is humble or wise. Everyone who is either curious or generous is happy or not creative. If alice is not creative or not tall then someone is either patient or not brave and vice versa. If paul is both not creative and not wise then lucy is both not patient and not happy and vice v... | Susan is not quiet. | contradiction | (![X]:((tall(X)<~>~old(X))=>(humble(X)|wise(X))))&
(![X]:((curious(X)<~>generous(X))=>(happy(X)|~creative(X))))&
(((~creative(alice)|~tall(alice)))<=>(?[X]:((patient(X)<~>~brave(X)))))&
(((~creative(paul)&~wise(paul)))<=>((~patient(lucy)&~happy(lucy))))&
(((~creative(susan)|~patient(susan)))=>(?[X]:((~quiet(X)&~brave(X... | ~quiet(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1733973154560280453494274
% SZS output start Proof for 1733973154560280453494274
19. quiet(susan) [input p18]
25. ~quiet(susan) [input hypothesis]
142. quiet(susan) [cnf transformation 19]
153. ~quiet(susan) [cnf transformation 25]
350. $false [subsumption resolution 153,142]
% SZS output... | 0 |
Everyone who is either brave or not creative is not rich.
Everyone who is brave or not rich is not brave.
Everyone who is not old is both not kind and kind.
If someone is not wise or calm then paul is not patient.
If mary is both not strong and not calm then someone is tall or brave.
Everyone who is generous or kind is... | Paul is not quiet. | contradiction | (![X]:((brave(X)<~>~creative(X))=>~rich(X)))&
(![X]:((brave(X)|~rich(X))=>~brave(X)))&
(![X]:(~old(X)=>(~kind(X)&kind(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~patient(paul)))&
(((~strong(mary)&~calm(mary)))=>(?[X]:((tall(X)|brave(X)))))&
(![X]:((generous(X)|kind(X))=>~funny(X)))&
((?[X]:((~strong(X)&~happy(X))))<=>((~wis... | ~quiet(paul) | [
"p1",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2983174192566827074805905
% SZS output start Proof for 2983174192566827074805905
2. ! [X0] : ((~rich(X0) | brave(X0)) => ~brave(X0)) [input p1]
3. ! [X0] : (~old(X0) => (kind(X0) & ~kind(X0))) [input p2]
10. ! [X0] : (~quiet(X0) <=> (old(X0) <~> curious(X0))) [input p9]
13. ! [X0] : ((~br... | 0 |
Everyone who is both not calm and generous is both not humble and not creative and vice versa.
If someone is both not rich and wise then someone is not kind and vice versa.
Everyone who is not happy is either not quiet or not calm and vice versa.
If paul is both not patient and strong then susan is wise.
Everyone who i... | Mary is rich. | contradiction | (![X]:((~calm(X)&generous(X))<=>(~humble(X)&~creative(X))))&
((?[X]:((~rich(X)&wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~happy(X)<=>(~quiet(X)<~>~calm(X))))&
(((~patient(paul)&strong(paul)))=>(wise(susan)))&
(![X]:((~generous(X)&old(X))<=>(brave(X)|~strong(X))))&
(![X]:((~kind(X)|~generous(X))<=>(~generous(X)&~wise(X)))... | rich(mary) | [
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 236783411319057257810555
% SZS output start Proof for 236783411319057257810555
3. ! [X0] : (~happy(X0) <=> (~quiet(X0) <~> ~calm(X0))) [input p2]
11. ! [X0] : ((~happy(X0) <~> ~rich(X0)) <=> (quiet(X0) & happy(X0))) [input p10]
14. ! [X0] : ((quiet(X0) | ~calm(X0)) => calm(X0)) [input p13... | 0 |
If someone is either curious or not rich then john is both tall and not calm and vice versa. Everyone who is either not strong or wise is not kind. If mary is tall or calm then someone is not creative or wise and vice versa. If fred is not creative or not happy then susan is tall or not kind and vice versa. If someone ... | John is patient. | entailment | ((?[X]:((curious(X)<~>~rich(X))))<=>((tall(john)&~calm(john))))&
(![X]:((~strong(X)<~>wise(X))=>~kind(X)))&
(((tall(mary)|calm(mary)))<=>(?[X]:((~creative(X)|wise(X)))))&
(((~creative(fred)|~happy(fred)))<=>((tall(susan)|~kind(susan))))&
((?[X]:((~brave(X)|tall(X))))=>(?[X]:((creative(X)<~>strong(X)))))&
(![X]:((~calm(... | patient(john) | [
"p0",
"p1",
"p5",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 111001245105642969676801
% SZS output start Proof for 111001245105642969676801
1. ? [X0] : (curious(X0) <~> ~rich(X0)) <=> (~calm(john) & tall(john)) [input p0]
2. ! [X0] : ((~strong(X0) <~> wise(X0)) => ~kind(X0)) [input p1]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (curious(X0) <~> calm(... | 0 |
Everyone who is either generous or not calm is both funny and not patient and vice versa.
Everyone who is rich or not patient is both not patient and humble and vice versa.
If someone is either not wise or not happy then alice is both not calm and not kind.
Everyone who is either not happy or not patient is both rich a... | John is not patient. | neutral | (![X]:((generous(X)<~>~calm(X))<=>(funny(X)&~patient(X))))&
(![X]:((rich(X)|~patient(X))<=>(~patient(X)&humble(X))))&
((?[X]:((~wise(X)<~>~happy(X))))=>((~calm(alice)&~kind(alice))))&
(![X]:((~happy(X)<~>~patient(X))=>(rich(X)&~wise(X))))&
(![X]:((old(X)<~>~tall(X))=>(~generous(X)|rich(X))))&
((kind(fred))<=>((tall(sus... | ~patient(john) | [] | null | 0 |
If lucy is not curious or not creative then someone is not curious. If john is not happy then someone is both generous and not creative and vice versa. Everyone who is not patient is either humble or happy. Everyone who is quiet is not old or not kind. If someone is both not patient and strong then paul is quiet or fun... | Alice is not humble. | neutral | (((~curious(lucy)|~creative(lucy)))=>(?[X]:(~curious(X))))&
((~happy(john))<=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:(~patient(X)=>(humble(X)<~>happy(X))))&
(![X]:(quiet(X)=>(~old(X)|~kind(X))))&
((?[X]:((~patient(X)&strong(X))))<=>((quiet(paul)|funny(paul))))&
(![X]:((~tall(X)<~>funny(X))<=>(~funny(X)|~tall(X))))... | ~humble(alice) | [] | null | 0 |
Everyone who is rich or curious is not funny.
If paul is not tall or not rich then someone is either tall or kind and vice versa.
Everyone who is either not curious or humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humb... | Mary is not rich. | entailment | (![X]:((rich(X)|curious(X))=>~funny(X)))&
(((~tall(paul)|~rich(paul)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
... | ~rich(mary) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7445915510023147803677783
% SZS output start Proof for 7445915510023147803677783
1. ! [X0] : ((curious(X0) | rich(X0)) => ~funny(X0)) [input p0]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p9]
14. ! [X0] : ((wise(X0) & creative(X0)) <=> (strong(X0) | ~funny(X0))) [input... | 0 |
Everyone who is both not brave and wise is happy or not rich.
Everyone who is generous is both rich and brave and vice versa.
If lucy is not brave or happy then john is strong or quiet.
If someone is either quiet or not happy then mary is strong or tall.
Everyone who is both generous and not curious is both not happy a... | Paul is not generous. | entailment | (![X]:((~brave(X)&wise(X))=>(happy(X)|~rich(X))))&
(![X]:(generous(X)<=>(rich(X)&brave(X))))&
(((~brave(lucy)|happy(lucy)))=>((strong(john)|quiet(john))))&
((?[X]:((quiet(X)<~>~happy(X))))=>((strong(mary)|tall(mary))))&
(![X]:((generous(X)&~curious(X))<=>(~happy(X)&happy(X))))&
(![X]:((~tall(X)&~funny(X))=>(generous(X)... | ~generous(paul) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3169774600584663822452638
% SZS output start Proof for 3169774600584663822452638
5. ! [X0] : ((~curious(X0) & generous(X0)) <=> (happy(X0) & ~happy(X0))) [input p4]
22. ~kind(paul) & ~curious(paul) [input p21]
24. generous(paul) [input hypothesis]
43. ! [X0] : (((~curious(X0) & generous(X... | 0 |
If paul is not generous then lucy is not funny or creative and vice versa.
If someone is not tall or not wise then someone is not creative and vice versa.
If someone is funny or generous then fred is either happy or not tall and vice versa.
If john is not creative then lucy is both quiet and wise and vice versa.
Everyo... | Mary is wise. | neutral | ((~generous(paul))<=>((~funny(lucy)|creative(lucy))))&
((?[X]:((~tall(X)|~wise(X))))<=>(?[X]:(~creative(X))))&
((?[X]:((funny(X)|generous(X))))<=>((happy(fred)<~>~tall(fred))))&
((~creative(john))<=>((quiet(lucy)&wise(lucy))))&
(![X]:((brave(X)|happy(X))=>(~tall(X)<~>~generous(X))))&
(((happy(john)&~tall(john)))<=>((~s... | wise(mary) | [] | null | 0 |
If someone is not humble then someone is not strong.
Everyone who is not brave is funny.
If someone is both not curious and strong then john is strong.
If someone is not curious then someone is either not tall or not calm.
Everyone who is curious or not kind is both not old and not calm and vice versa.
If someone is ca... | John is not strong. | contradiction | ((?[X]:(~humble(X)))=>(?[X]:(~strong(X))))&
(![X]:(~brave(X)=>funny(X)))&
((?[X]:((~curious(X)&strong(X))))=>(strong(john)))&
((?[X]:(~curious(X)))=>(?[X]:((~tall(X)<~>~calm(X)))))&
(![X]:((curious(X)|~kind(X))<=>(~old(X)&~calm(X))))&
((?[X]:(calm(X)))<=>((~old(lucy)|quiet(lucy))))&
(![X]:((~humble(X)&calm(X))<=>(old(X... | ~strong(john) | [
"p2",
"p4",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 454611022928937964256016
% SZS output start Proof for 454611022928937964256016
3. ? [X0] : (strong(X0) & ~curious(X0)) => strong(john) [input p2]
5. ! [X0] : ((~kind(X0) | curious(X0)) <=> (~calm(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((calm(X0) & ~humble(X0)) <=> (~quiet(X0) & old(X0)))... | 0 |
Everyone who is either not funny or kind is either happy or curious and vice versa.
Everyone who is not old is not funny or not calm and vice versa.
Everyone who is tall is either not happy or not humble and vice versa.
Everyone who is both strong and not funny is kind.
If someone is both not calm and patient then some... | John is not curious. | contradiction | (![X]:((~funny(X)<~>kind(X))<=>(happy(X)<~>curious(X))))&
(![X]:(~old(X)<=>(~funny(X)|~calm(X))))&
(![X]:(tall(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((strong(X)&~funny(X))=>kind(X)))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(joh... | ~curious(john) | [
"p0",
"p2",
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1758204498496977870975538
% SZS output start Proof for 1758204498496977870975538
1. ! [X0] : ((~funny(X0) <~> kind(X0)) <=> (happy(X0) <~> curious(X0))) [input p0]
3. ! [X0] : (tall(X0) <=> (~happy(X0) <~> ~humble(X0))) [input p2]
4. ! [X0] : ((~funny(X0) & strong(X0)) => kind(X0)) [input... | 0 |
Everyone who is either happy or not patient is not kind.
If susan is both kind and not kind then someone is happy and vice versa.
Everyone who is both not old and not wise is either rich or tall and vice versa.
Everyone who is curious is either quiet or wise and vice versa.
Everyone who is both old and not wise is humb... | Paul is not happy. | entailment | (![X]:((happy(X)<~>~patient(X))=>~kind(X)))&
(((kind(susan)&~kind(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~old(X)&~wise(X))<=>(rich(X)<~>tall(X))))&
(![X]:(curious(X)<=>(quiet(X)<~>wise(X))))&
(![X]:((old(X)&~wise(X))<=>(humble(X)|generous(X))))&
(![X]:((old(X)<~>rich(X))<=>(tall(X)<~>generous(X))))&
((?[X]:((kind(X)|pa... | ~happy(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6137394559844043264314166
% SZS output start Proof for 6137394559844043264314166
2. (~kind(susan) & kind(susan)) <=> ? [X0] : happy(X0) [input p1]
23. happy(paul) [input hypothesis]
30. ((~kind(susan) & kind(susan)) | ! [X0] : ~happy(X0)) & (? [X0] : happy(X0) | (kind(susan) | ~kind(susan... | 0 |
Everyone who is both not old and not quiet is not generous or not quiet and vice versa. If alice is both not humble and not tall then someone is quiet or humble. If john is either not kind or humble then someone is either old or not kind. Everyone who is funny is not brave or not kind. If someone is both not happy and ... | Susan is humble. | entailment | (![X]:((~old(X)&~quiet(X))<=>(~generous(X)|~quiet(X))))&
(((~humble(alice)&~tall(alice)))=>(?[X]:((quiet(X)|humble(X)))))&
(((~kind(john)<~>humble(john)))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:(funny(X)=>(~brave(X)|~kind(X))))&
((?[X]:((~happy(X)&creative(X))))<=>((brave(lucy)&patient(lucy))))&
(![X]:((happy(X)|~tall(X... | humble(susan) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3743029264759023969349129
% SZS output start Proof for 3743029264759023969349129
15. ! [X0] : ((~strong(X0) <~> humble(X0)) <=> (happy(X0) | strong(X0))) [input p14]
23. ~rich(susan) & ~happy(susan) [input p22]
24. ~humble(susan) [input hypothesis]
62. ! [X0] : ((((~humble(X0) | strong(X0... | 0 |
Everyone who is both not happy and strong is not wise or not calm.
If fred is both not brave and not humble then someone is not quiet or calm.
Everyone who is both curious and generous is not curious.
If someone is kind or funny then john is either strong or kind.
If susan is calm then someone is not funny or not quiet... | Fred is kind. | neutral | (![X]:((~happy(X)&strong(X))=>(~wise(X)|~calm(X))))&
(((~brave(fred)&~humble(fred)))=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((curious(X)&generous(X))=>~curious(X)))&
((?[X]:((kind(X)|funny(X))))=>((strong(john)<~>kind(john))))&
((calm(susan))=>(?[X]:((~funny(X)|~quiet(X)))))&
((?[X]:((~kind(X)&creative(X))))=>(?[X]:((ge... | kind(fred) | [] | null | 0 |
If alice is both not funny and generous then john is not patient and vice versa.
If alice is both generous and creative then someone is either happy or not strong and vice versa.
If someone is not quiet or not strong then lucy is tall and vice versa.
Everyone who is both calm and humble is funny or wise and vice versa.... | Fred is brave. | neutral | (((~funny(alice)&generous(alice)))<=>(~patient(john)))&
(((generous(alice)&creative(alice)))<=>(?[X]:((happy(X)<~>~strong(X)))))&
((?[X]:((~quiet(X)|~strong(X))))<=>(tall(lucy)))&
(![X]:((calm(X)&humble(X))<=>(funny(X)|wise(X))))&
(![X]:((quiet(X)&rich(X))=>~creative(X)))&
((quiet(susan))<=>(?[X]:((generous(X)&~curious... | brave(fred) | [] | null | 0 |
If mary is either generous or calm then someone is either creative or not happy.
Everyone who is either strong or not happy is either quiet or not tall and vice versa.
Everyone who is either not kind or strong is both curious and not wise.
Everyone who is curious is not old.
If someone is both brave and strong then fre... | John is not humble. | neutral | (((generous(mary)<~>calm(mary)))=>(?[X]:((creative(X)<~>~happy(X)))))&
(![X]:((strong(X)<~>~happy(X))<=>(quiet(X)<~>~tall(X))))&
(![X]:((~kind(X)<~>strong(X))=>(curious(X)&~wise(X))))&
(![X]:(curious(X)=>~old(X)))&
((?[X]:((brave(X)&strong(X))))=>((funny(fred)&~happy(fred))))&
((?[X]:((~generous(X)&~happy(X))))<=>(~ric... | ~humble(john) | [] | null | 0 |
If someone is either not rich or calm then someone is strong and vice versa.
If someone is brave or not strong then someone is rich or not calm and vice versa.
Everyone who is either calm or quiet is kind.
If lucy is either not calm or curious then john is both not curious and not wise.
Everyone who is not curious is h... | John is wise. | neutral | ((?[X]:((~rich(X)<~>calm(X))))<=>(?[X]:(strong(X))))&
((?[X]:((brave(X)|~strong(X))))<=>(?[X]:((rich(X)|~calm(X)))))&
(![X]:((calm(X)<~>quiet(X))=>kind(X)))&
(((~calm(lucy)<~>curious(lucy)))=>((~curious(john)&~wise(john))))&
(![X]:(~curious(X)<=>(happy(X)|old(X))))&
(((~old(john)|~wise(john)))=>((happy(susan)&humble(su... | wise(john) | [] | null | 0 |
If someone is either rich or strong then susan is either creative or not strong.
If someone is both not brave and not funny then susan is not creative and vice versa.
If someone is not calm or generous then alice is both not curious and creative and vice versa.
Everyone who is not curious is not strong and vice versa.
... | Fred is brave. | neutral | ((?[X]:((rich(X)<~>strong(X))))=>((creative(susan)<~>~strong(susan))))&
((?[X]:((~brave(X)&~funny(X))))<=>(~creative(susan)))&
((?[X]:((~calm(X)|generous(X))))<=>((~curious(alice)&creative(alice))))&
(![X]:(~curious(X)<=>~strong(X)))&
((~wise(lucy))=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((~calm(X)&calm(X))=>(quiet(X)&~ri... | brave(fred) | [] | null | 0 |
If lucy is either not creative or not quiet then john is both tall and not strong. Everyone who is either old or quiet is not old or not kind. If someone is both not patient and strong then paul is quiet or funny and vice versa. Everyone who is either not tall or funny is not funny or not tall and vice versa. Everyone ... | Alice is happy. | entailment | (((~creative(lucy)<~>~quiet(lucy)))=>((tall(john)&~strong(john))))&
(![X]:((old(X)<~>quiet(X))=>(~old(X)|~kind(X))))&
((?[X]:((~patient(X)&strong(X))))<=>((quiet(paul)|funny(paul))))&
(![X]:((~tall(X)<~>funny(X))<=>(~funny(X)|~tall(X))))&
(![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((~happy(X)&old(X))=>(... | happy(alice) | [
"p3",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1565384290126482519898453
% SZS output start Proof for 1565384290126482519898453
4. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~tall(X0))) [input p4]
6. ! [X0] : ((old(X0) & ~happy(X0)) => (~wise(X0) ... | 0 |
If mary is both not rich and generous then alice is not patient or generous. If someone is either not old or quiet then paul is either not brave or not patient. Everyone who is either creative or not strong is either funny or not old. If fred is both happy and not happy then someone is not quiet or rich. Everyone who i... | John is old. | contradiction | (((~rich(mary)&generous(mary)))=>((~patient(alice)|generous(alice))))&
((?[X]:((~old(X)<~>quiet(X))))=>((~brave(paul)<~>~patient(paul))))&
(![X]:((creative(X)<~>~strong(X))=>(funny(X)<~>~old(X))))&
(((happy(fred)&~happy(fred)))=>(?[X]:((~quiet(X)|rich(X)))))&
(![X]:((brave(X)&~brave(X))<=>(~patient(X)<~>~happy(X))))&
(... | old(john) | [
"p7",
"p9",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7859206307833893298136
% SZS output start Proof for 7859206307833893298136
8. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (old(X0) <~> ~happy(X0))) [input p7]
10. ! [X0] : (~tall(X0) <=> (brave(X0) | funny(X0))) [input p9]
16. ! [X0] : (~happy(X0) => (~old(X0) & rich(X0))) [input p15]
18. brave... | 0 |
If alice is not curious or not rich then someone is funny or quiet.
Everyone who is either not happy or not tall is either calm or not patient and vice versa.
Everyone who is both not creative and not quiet is tall or not strong and vice versa.
Everyone who is both wise and not creative is rich or patient.
If someone i... | Alice is patient. | neutral | (((~curious(alice)|~rich(alice)))=>(?[X]:((funny(X)|quiet(X)))))&
(![X]:((~happy(X)<~>~tall(X))<=>(calm(X)<~>~patient(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(tall(X)|~strong(X))))&
(![X]:((wise(X)&~creative(X))=>(rich(X)|patient(X))))&
((?[X]:((~happy(X)<~>curious(X))))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)&generous... | patient(alice) | [] | null | 0 |
If someone is brave or humble then someone is not creative or not quiet.
Everyone who is curious is both not rich and not brave and vice versa.
If someone is strong or not rich then susan is both not generous and patient.
Everyone who is both not brave and kind is not curious and vice versa.
If someone is not generous ... | Susan is not curious. | contradiction | ((?[X]:((brave(X)|humble(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:(curious(X)<=>(~rich(X)&~brave(X))))&
((?[X]:((strong(X)|~rich(X))))=>((~generous(susan)&patient(susan))))&
(![X]:((~brave(X)&kind(X))<=>~curious(X)))&
((?[X]:(~generous(X)))<=>(~happy(alice)))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:((kind(X)<~... | ~curious(susan) | [
"p1",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2174030027122430626251231
% SZS output start Proof for 2174030027122430626251231
2. ! [X0] : (curious(X0) <=> (~brave(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((kind(X0) & ~brave(X0)) <=> ~curious(X0)) [input p3]
6. ? [X0] : (~curious(X0) | calm(X0)) <=> ? [X0] : (kind(X0) <~> rich(X0)) [... | 0 |
If alice is both not tall and not rich then susan is both humble and generous and vice versa.
If someone is not rich then susan is both tall and brave and vice versa.
If someone is not brave then susan is both not brave and not kind.
If someone is both calm and not quiet then alice is both not funny and not strong and ... | Lucy is not brave. | contradiction | (((~tall(alice)&~rich(alice)))<=>((humble(susan)&generous(susan))))&
((?[X]:(~rich(X)))<=>((tall(susan)&brave(susan))))&
((?[X]:(~brave(X)))=>((~brave(susan)&~kind(susan))))&
((?[X]:((calm(X)&~quiet(X))))<=>((~funny(alice)&~strong(alice))))&
(((~humble(paul)|~tall(paul)))=>((strong(mary)|~old(mary))))&
(((~happy(lucy)<... | ~brave(lucy) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6781050940161701174877823
% SZS output start Proof for 6781050940161701174877823
3. ? [X0] : ~brave(X0) => (~kind(susan) & ~brave(susan)) [input p2]
9. ! [X0] : ((~old(X0) <~> kind(X0)) <=> old(X0)) [input p8]
24. ~brave(lucy) [input hypothesis]
26. (~kind(susan) & ~brave(susan)) | ! [X0]... | 0 |
If fred is either not creative or not humble then alice is both not happy and strong and vice versa.
If someone is either brave or not brave then someone is both not curious and patient.
Everyone who is either generous or not curious is either not strong or strong.
If alice is both calm and creative then alice is not q... | Paul is quiet. | entailment | (((~creative(fred)<~>~humble(fred)))<=>((~happy(alice)&strong(alice))))&
((?[X]:((brave(X)<~>~brave(X))))=>(?[X]:((~curious(X)&patient(X)))))&
(![X]:((generous(X)<~>~curious(X))=>(~strong(X)<~>strong(X))))&
(((calm(alice)&creative(alice)))<=>(~quiet(alice)))&
(![X]:((strong(X)&~tall(X))=>(brave(X)|tall(X))))&
(![X]:((c... | quiet(paul) | [
"p5",
"p6",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8973513009504358482426364
% SZS output start Proof for 8973513009504358482426364
6. ! [X0] : ((~kind(X0) & curious(X0)) <=> (happy(X0) & ~calm(X0))) [input p5]
7. ? [X0] : (patient(X0) & ~calm(X0)) <=> ~quiet(paul) [input p6]
12. ! [X0] : (brave(X0) => (~generous(X0) & curious(X0))) [inpu... | 0 |
Everyone who is happy or not tall is not creative or wise. Everyone who is either curious or kind is both old and not curious. If someone is either not curious or wise then john is either wise or not quiet. If alice is not kind then fred is either strong or not curious and vice versa. If susan is both tall and rich the... | Alice is not kind. | contradiction | (![X]:((happy(X)|~tall(X))=>(~creative(X)|wise(X))))&
(![X]:((curious(X)<~>kind(X))=>(old(X)&~curious(X))))&
((?[X]:((~curious(X)<~>wise(X))))=>((wise(john)<~>~quiet(john))))&
((~kind(alice))<=>((strong(fred)<~>~curious(fred))))&
(((tall(susan)&rich(susan)))<=>(?[X]:((~generous(X)&~calm(X)))))&
(![X]:((~patient(X)&quie... | ~kind(alice) | [
"p1",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 879555343780057349946689
% SZS output start Proof for 879555343780057349946689
2. ! [X0] : ((curious(X0) <~> kind(X0)) => (~curious(X0) & old(X0))) [input p1]
7. ! [X0] : ((patient(X0) | ~generous(X0)) => (kind(X0) & old(X0))) [input p6]
9. ! [X0] : (~kind(X0) => (~generous(X0) | curious(... | 0 |
Everyone who is both curious and kind is either not old or not tall.
If fred is not calm or quiet then mary is brave or tall.
Everyone who is both curious and strong is strong or kind.
If fred is both not kind and creative then someone is either not strong or not funny and vice versa.
Everyone who is not calm or not ki... | Susan is not patient. | neutral | (![X]:((curious(X)&kind(X))=>(~old(X)<~>~tall(X))))&
(((~calm(fred)|quiet(fred)))=>((brave(mary)|tall(mary))))&
(![X]:((curious(X)&strong(X))=>(strong(X)|kind(X))))&
(((~kind(fred)&creative(fred)))<=>(?[X]:((~strong(X)<~>~funny(X)))))&
(![X]:((~calm(X)|~kind(X))<=>funny(X)))&
(![X]:(patient(X)<=>(~tall(X)<~>curious(X))... | ~patient(susan) | [] | null | 0 |
Everyone who is either old or calm is either curious or wise and vice versa.
Everyone who is not curious is either curious or brave and vice versa.
If paul is both not patient and not calm then fred is either not wise or rich.
If alice is either not rich or rich then fred is both not curious and not strong and vice ver... | Alice is not rich. | neutral | (![X]:((old(X)<~>calm(X))<=>(curious(X)<~>wise(X))))&
(![X]:(~curious(X)<=>(curious(X)<~>brave(X))))&
(((~patient(paul)&~calm(paul)))=>((~wise(fred)<~>rich(fred))))&
(((~rich(alice)<~>rich(alice)))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>funny(X))<=>strong(X)))&
(![X]:((~tall(X)&~old(X))=>(patient(X)|~... | ~rich(alice) | [] | null | 0 |
Everyone who is not humble is both brave and tall.
If john is tall then lucy is both not wise and not kind.
Everyone who is both patient and happy is not calm or humble and vice versa.
If someone is both generous and not old then lucy is rich.
If mary is either not brave or not wise then someone is both not patient and... | Mary is not wise. | entailment | (![X]:(~humble(X)=>(brave(X)&tall(X))))&
((tall(john))=>((~wise(lucy)&~kind(lucy))))&
(![X]:((patient(X)&happy(X))<=>(~calm(X)|humble(X))))&
((?[X]:((generous(X)&~old(X))))=>(rich(lucy)))&
(((~brave(mary)<~>~wise(mary)))=>(?[X]:((~patient(X)&~tall(X)))))&
((?[X]:(strong(X)))=>(?[X]:((happy(X)|~brave(X)))))&
(![X]:((~cu... | ~wise(mary) | [
"p0",
"p2",
"p7",
"p8",
"p9",
"p10",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 74259649550092761527560
% SZS output start Proof for 74259649550092761527560
1. ! [X0] : (~humble(X0) => (tall(X0) & brave(X0))) [input p0]
3. ! [X0] : ((happy(X0) & patient(X0)) <=> (humble(X0) | ~calm(X0))) [input p2]
8. ! [X0] : ((tall(X0) | ~strong(X0)) => (tall(X0) & quiet(X0))) [inp... | 0 |
Everyone who is strong is either not calm or not wise. If someone is not calm then susan is both not funny and not humble. Everyone who is both not kind and calm is both rich and not strong. If mary is not happy or not generous then someone is either not tall or patient. Everyone who is wise or calm is generous or not ... | Lucy is not brave. | entailment | (![X]:(strong(X)=>(~calm(X)<~>~wise(X))))&
((?[X]:(~calm(X)))=>((~funny(susan)&~humble(susan))))&
(![X]:((~kind(X)&calm(X))=>(rich(X)&~strong(X))))&
(((~happy(mary)|~generous(mary)))=>(?[X]:((~tall(X)<~>patient(X)))))&
(![X]:((wise(X)|calm(X))<=>(generous(X)|~strong(X))))&
(((~patient(paul)&funny(paul)))<=>(?[X]:((~gen... | ~brave(lucy) | [
"p0",
"p4",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8485284086155369037222738
% SZS output start Proof for 8485284086155369037222738
1. ! [X0] : (strong(X0) => (~calm(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : ((calm(X0) | wise(X0)) <=> (~strong(X0) | generous(X0))) [input p4]
6. (funny(paul) & ~patient(paul)) <=> ? [X0] : (~generous(X0) <... | 0 |
Everyone who is both old and curious is wise. Everyone who is both not rich and tall is both quiet and not strong and vice versa. If alice is both not kind and strong then john is both humble and not quiet and vice versa. If susan is kind or funny then someone is both not funny and wise and vice versa. If john is happy... | Alice is creative. | contradiction | (![X]:((old(X)&curious(X))=>wise(X)))&
(![X]:((~rich(X)&tall(X))<=>(quiet(X)&~strong(X))))&
(((~kind(alice)&strong(alice)))<=>((humble(john)&~quiet(john))))&
(((kind(susan)|funny(susan)))<=>(?[X]:((~funny(X)&wise(X)))))&
(((happy(john)|~brave(john)))<=>((~kind(susan)&~quiet(susan))))&
(![X]:((creative(X)|~curious(X))<=... | creative(alice) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 266475454417496606572943
% SZS output start Proof for 266475454417496606572943
12. ! [X0] : ((~wise(X0) | humble(X0)) => ~creative(X0)) [input p11]
17. humble(alice) & ~funny(alice) [input p16]
25. creative(alice) [input hypothesis]
31. ! [X0] : (~creative(X0) | (wise(X0) & ~humble(X0))) ... | 0 |
If someone is both not strong and not creative then someone is not humble and vice versa.
Everyone who is not happy is wise.
Everyone who is not creative is both not happy and brave and vice versa.
Everyone who is generous is both funny and not old and vice versa.
Everyone who is either generous or kind is old or not t... | Fred is not calm. | entailment | ((?[X]:((~strong(X)&~creative(X))))<=>(?[X]:(~humble(X))))&
(![X]:(~happy(X)=>wise(X)))&
(![X]:(~creative(X)<=>(~happy(X)&brave(X))))&
(![X]:(generous(X)<=>(funny(X)&~old(X))))&
(![X]:((generous(X)<~>kind(X))<=>(old(X)|~tall(X))))&
(![X]:((creative(X)&old(X))<=>(~rich(X)&calm(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(... | ~calm(fred) | [
"p1",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7923698810384542133108637
% SZS output start Proof for 7923698810384542133108637
2. ! [X0] : (~happy(X0) => wise(X0)) [input p1]
14. ! [X0] : ((~generous(X0) | happy(X0)) => (~rich(X0) & rich(X0))) [input p13]
15. ? [X0] : calm(X0) <=> (~calm(susan) & ~wise(susan)) [input p14]
24. calm(fr... | 0 |
If someone is not funny or wise then lucy is either not old or not brave.
Everyone who is both curious and humble is not brave or happy and vice versa.
If someone is both quiet and strong then susan is not curious or not rich.
Everyone who is not kind is both calm and not wise and vice versa.
Everyone who is both not b... | Susan is not happy. | neutral | ((?[X]:((~funny(X)|wise(X))))=>((~old(lucy)<~>~brave(lucy))))&
(![X]:((curious(X)&humble(X))<=>(~brave(X)|happy(X))))&
((?[X]:((quiet(X)&strong(X))))=>((~curious(susan)|~rich(susan))))&
(![X]:(~kind(X)<=>(calm(X)&~wise(X))))&
(![X]:((~brave(X)&~generous(X))<=>(~happy(X)|quiet(X))))&
(![X]:((~humble(X)&quiet(X))=>(rich(... | ~happy(susan) | [] | null | 0 |
If someone is humble then someone is either not patient or not rich and vice versa. If alice is brave or funny then someone is either not quiet or not funny and vice versa. Everyone who is both funny and brave is not curious or calm and vice versa. Everyone who is either strong or not happy is both tall and generous. E... | Alice is tall. | neutral | ((?[X]:(humble(X)))<=>(?[X]:((~patient(X)<~>~rich(X)))))&
(((brave(alice)|funny(alice)))<=>(?[X]:((~quiet(X)<~>~funny(X)))))&
(![X]:((funny(X)&brave(X))<=>(~curious(X)|calm(X))))&
(![X]:((strong(X)<~>~happy(X))=>(tall(X)&generous(X))))&
(![X]:((wise(X)<~>tall(X))<=>(~brave(X)|calm(X))))&
((calm(alice))<=>(?[X]:((~curio... | tall(alice) | [] | null | 0 |
Everyone who is old is either happy or creative.
Everyone who is either not old or not strong is generous or not happy and vice versa.
Everyone who is either not generous or generous is both curious and not calm and vice versa.
Everyone who is not patient is either creative or not strong and vice versa.
If lucy is eith... | Lucy is patient. | contradiction | (![X]:(old(X)=>(happy(X)<~>creative(X))))&
(![X]:((~old(X)<~>~strong(X))<=>(generous(X)|~happy(X))))&
(![X]:((~generous(X)<~>generous(X))<=>(curious(X)&~calm(X))))&
(![X]:(~patient(X)<=>(creative(X)<~>~strong(X))))&
(((~curious(lucy)<~>kind(lucy)))<=>(?[X]:(~wise(X))))&
((?[X]:((tall(X)&~old(X))))<=>((~kind(mary)<~>~qu... | patient(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5938861327580171936356496
% SZS output start Proof for 5938861327580171936356496
1. ! [X0] : (old(X0) => (happy(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~happy(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~calm(X0... | 0 |
If someone is not curious or not humble then someone is generous or humble and vice versa.
Everyone who is either strong or funny is both strong and not tall.
If lucy is either not quiet or funny then lucy is both not happy and generous and vice versa.
If alice is not humble or calm then someone is either creative or n... | John is not kind. | neutral | ((?[X]:((~curious(X)|~humble(X))))<=>(?[X]:((generous(X)|humble(X)))))&
(![X]:((strong(X)<~>funny(X))=>(strong(X)&~tall(X))))&
(((~quiet(lucy)<~>funny(lucy)))<=>((~happy(lucy)&generous(lucy))))&
(((~humble(alice)|calm(alice)))=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:((~tall(X)&~strong(X))))=>(?[X]:((generous(X)<~... | ~kind(john) | [] | null | 0 |
Everyone who is both not generous and not funny is both creative and strong.
Everyone who is both not generous and not patient is either old or generous and vice versa.
Everyone who is either not old or happy is either curious or not humble and vice versa.
Everyone who is happy or not strong is not happy or calm.
Every... | Lucy is not quiet. | contradiction | (![X]:((~generous(X)&~funny(X))=>(creative(X)&strong(X))))&
(![X]:((~generous(X)&~patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((happy(X)|~strong(X))=>(~happy(X)|calm(X))))&
(![X]:((wise(X)<~>~creative(X))=>(~brave(X)<~>funny(X))))&
((?[X]:(quiet(X)))=>(?[X]:(... | ~quiet(lucy) | [
"p1",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5331609250788703886215303
% SZS output start Proof for 5331609250788703886215303
2. ! [X0] : ((~patient(X0) & ~generous(X0)) <=> (old(X0) <~> generous(X0))) [input p1]
7. ! [X0] : ((wise(X0) <~> ~quiet(X0)) <=> (~generous(X0) & ~old(X0))) [input p6]
15. ! [X0] : ((quiet(X0) | ~wise(X0)) <... | 0 |
Everyone who is strong is either not rich or not brave and vice versa.
Everyone who is not old or not curious is either curious or not quiet.
Everyone who is either rich or not brave is both creative and not quiet and vice versa.
Everyone who is patient or not tall is either happy or funny and vice versa.
If alice is q... | John is funny. | entailment | (![X]:(strong(X)<=>(~rich(X)<~>~brave(X))))&
(![X]:((~old(X)|~curious(X))=>(curious(X)<~>~quiet(X))))&
(![X]:((rich(X)<~>~brave(X))<=>(creative(X)&~quiet(X))))&
(![X]:((patient(X)|~tall(X))<=>(happy(X)<~>funny(X))))&
(((quiet(alice)|~kind(alice)))=>(?[X]:((calm(X)<~>funny(X)))))&
(((rich(mary)&~kind(mary)))<=>(?[X]:((~... | funny(john) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8805509579260691325461397
% SZS output start Proof for 8805509579260691325461397
24. funny(john) [input p23]
25. ~funny(john) [input hypothesis]
147. funny(john) [cnf transformation 24]
148. ~funny(john) [cnf transformation 25]
202. 11 <=> funny(john) [avatar definition]
338. 11 [avatar s... | 0 |
If someone is not rich then john is either old or kind.
Everyone who is both not wise and creative is both not creative and curious.
Everyone who is not strong is not creative or tall.
If susan is either not patient or rich then alice is curious or old and vice versa.
If someone is strong then someone is not wise and v... | Alice is not humble. | neutral | ((?[X]:(~rich(X)))=>((old(john)<~>kind(john))))&
(![X]:((~wise(X)&creative(X))=>(~creative(X)&curious(X))))&
(![X]:(~strong(X)=>(~creative(X)|tall(X))))&
(((~patient(susan)<~>rich(susan)))<=>((curious(alice)|old(alice))))&
((?[X]:(strong(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~happy(X)&strong(X))<=>quiet(X)))&
((?[X]:(~cal... | ~humble(alice) | [] | null | 0 |
Everyone who is both not creative and not happy is old or kind and vice versa. Everyone who is rich or tall is either not curious or kind and vice versa. Everyone who is either calm or patient is either not calm or humble. Everyone who is funny or not happy is not creative and vice versa. Everyone who is happy or not c... | Alice is not creative. | entailment | (![X]:((~creative(X)&~happy(X))<=>(old(X)|kind(X))))&
(![X]:((rich(X)|tall(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((calm(X)<~>patient(X))=>(~calm(X)<~>humble(X))))&
(![X]:((funny(X)|~happy(X))<=>~creative(X)))&
(![X]:((happy(X)|~creative(X))=>(patient(X)<~>~funny(X))))&
(![X]:(patient(X)<=>(curious(X)|~quiet(X))))&
(((... | ~creative(alice) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 376046299152416876374552
% SZS output start Proof for 376046299152416876374552
1. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> (kind(X0) | old(X0))) [input p0]
4. ! [X0] : ((~happy(X0) | funny(X0)) <=> ~creative(X0)) [input p3]
5. ! [X0] : ((~creative(X0) | happy(X0)) => (patient(X0) <~> ~f... | 0 |
Everyone who is not brave or not humble is not old.
If susan is tall or old then fred is either not curious or not creative.
If someone is either not strong or not wise then paul is either not curious or not old.
Everyone who is patient is both calm and humble and vice versa.
Everyone who is either not rich or patient ... | Alice is not rich. | contradiction | (![X]:((~brave(X)|~humble(X))=>~old(X)))&
(((tall(susan)|old(susan)))=>((~curious(fred)<~>~creative(fred))))&
((?[X]:((~strong(X)<~>~wise(X))))=>((~curious(paul)<~>~old(paul))))&
(![X]:(patient(X)<=>(calm(X)&humble(X))))&
(![X]:((~rich(X)<~>patient(X))<=>(curious(X)<~>~happy(X))))&
((?[X]:((brave(X)|~rich(X))))<=>(?[X]... | ~rich(alice) | [
"p3",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8877898337046970768541717
% SZS output start Proof for 8877898337046970768541717
4. ! [X0] : (patient(X0) <=> (humble(X0) & calm(X0))) [input p3]
11. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (patient(X0) | tall(X0))) [input p10]
14. ! [X0] : ((~rich(X0) & rich(X0)) <=> (humble(X0) | ~str... | 0 |
If someone is either strong or old then alice is calm and vice versa. Everyone who is either kind or funny is both curious and tall and vice versa. Everyone who is both not old and generous is curious or not wise and vice versa. Everyone who is strong is happy and vice versa. If john is both curious and rich then fred ... | Alice is not brave. | neutral | ((?[X]:((strong(X)<~>old(X))))<=>(calm(alice)))&
(![X]:((kind(X)<~>funny(X))<=>(curious(X)&tall(X))))&
(![X]:((~old(X)&generous(X))<=>(curious(X)|~wise(X))))&
(![X]:(strong(X)<=>happy(X)))&
(((curious(john)&rich(john)))=>((~patient(fred)|calm(fred))))&
((?[X]:((~patient(X)&tall(X))))=>((~wise(john)&humble(john))))&
((?... | ~brave(alice) | [] | null | 0 |
If paul is either not old or not wise then paul is either not patient or not wise. If someone is both not strong and brave then john is both patient and not creative and vice versa. If someone is either not tall or not old then someone is happy. Everyone who is either kind or wise is either not kind or not brave and vi... | Alice is tall. | contradiction | (((~old(paul)<~>~wise(paul)))=>((~patient(paul)<~>~wise(paul))))&
((?[X]:((~strong(X)&brave(X))))<=>((patient(john)&~creative(john))))&
((?[X]:((~tall(X)<~>~old(X))))=>(?[X]:(happy(X))))&
(![X]:((kind(X)<~>wise(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:((humble(X)&old(X))))<=>((~tall(john)|~wise(john))))&
((~kind(alice))<... | tall(alice) | [
"p2",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1393817068118196446946504
% SZS output start Proof for 1393817068118196446946504
3. ? [X0] : (~tall(X0) <~> ~old(X0)) => ? [X0] : happy(X0) [input p2]
6. ~kind(alice) <=> ? [X0] : (wise(X0) | quiet(X0)) [input p5]
7. ! [X0] : ((tall(X0) | humble(X0)) <=> ~strong(X0)) [input p6]
8. (~brave... | 0 |
If alice is either not quiet or not creative then someone is both not tall and strong. Everyone who is both not kind and not creative is either not patient or not funny and vice versa. Everyone who is either not happy or generous is both not quiet and brave. If paul is both not creative and quiet then john is strong or... | Paul is not rich. | contradiction | (((~quiet(alice)<~>~creative(alice)))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~kind(X)&~creative(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((~happy(X)<~>generous(X))=>(~quiet(X)&brave(X))))&
(((~creative(paul)&quiet(paul)))<=>((strong(john)|rich(john))))&
((quiet(susan))=>(~rich(alice)))&
(![X]:((rich(X)&~brave(X))=>(~... | ~rich(paul) | [
"p1",
"p6",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 460124308016941887917515
% SZS output start Proof for 460124308016941887917515
2. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (~patient(X0) <~> ~funny(X0))) [input p1]
7. ! [X0] : (kind(X0) <=> (brave(X0) <~> ~brave(X0))) [input p6]
14. ! [X0] : ((patient(X0) | rich(X0)) <=> (~rich(X0) | cu... | 0 |
If someone is both not rich and not kind then someone is funny or not quiet.
If alice is humble then someone is either not curious or not happy and vice versa.
Everyone who is both not generous and not patient is either not happy or generous.
If mary is either not funny or not generous then someone is quiet and vice ve... | Mary is not happy. | entailment | ((?[X]:((~rich(X)&~kind(X))))=>(?[X]:((funny(X)|~quiet(X)))))&
((humble(alice))<=>(?[X]:((~curious(X)<~>~happy(X)))))&
(![X]:((~generous(X)&~patient(X))=>(~happy(X)<~>generous(X))))&
(((~funny(mary)<~>~generous(mary)))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)<~>~strong(X))=>quiet(X)))&
((?[X]:((rich(X)<~>calm(X))))=>(... | ~happy(mary) | [
"p2",
"p4",
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6064796134791604609843638
% SZS output start Proof for 6064796134791604609843638
3. ! [X0] : ((~patient(X0) & ~generous(X0)) => (~happy(X0) <~> generous(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> ~strong(X0)) => quiet(X0)) [input p4]
8. ! [X0] : ((strong(X0) | humble(X0)) => (~tall(X... | 0 |
Everyone who is not old or calm is both old and not old and vice versa.
If susan is not quiet or strong then someone is either brave or not humble and vice versa.
Everyone who is both rich and not funny is either strong or brave.
Everyone who is either not kind or not creative is both not calm and not patient and vice ... | Susan is not quiet. | neutral | (![X]:((~old(X)|calm(X))<=>(old(X)&~old(X))))&
(((~quiet(susan)|strong(susan)))<=>(?[X]:((brave(X)<~>~humble(X)))))&
(![X]:((rich(X)&~funny(X))=>(strong(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~creative(X))<=>(~calm(X)&~patient(X))))&
(((~funny(paul)<~>quiet(paul)))=>(?[X]:(wise(X))))&
((happy(mary))=>(~kind(john)))&
((?[... | ~quiet(susan) | [] | null | 0 |
Everyone who is happy is not creative.
Everyone who is both not strong and not humble is both generous and wise.
If mary is both creative and strong then fred is both rich and not strong and vice versa.
If john is both not old and not tall then someone is either rich or kind.
If alice is both kind and not old then some... | Alice is not brave. | entailment | (![X]:(happy(X)=>~creative(X)))&
(![X]:((~strong(X)&~humble(X))=>(generous(X)&wise(X))))&
(((creative(mary)&strong(mary)))<=>((rich(fred)&~strong(fred))))&
(((~old(john)&~tall(john)))=>(?[X]:((rich(X)<~>kind(X)))))&
(((kind(alice)&~old(alice)))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:((generous(X)|~brave(X))<=>(generou... | ~brave(alice) | [
"p0",
"p5",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5351376969652782789534582
% SZS output start Proof for 5351376969652782789534582
1. ! [X0] : (happy(X0) => ~creative(X0)) [input p0]
6. ! [X0] : ((~brave(X0) | generous(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p5]
7. ! [X0] : ((~curious(X0) | ~creative(X0)) <=> (~patient(X0) <~> ... | 0 |
If someone is both not wise and curious then mary is either not curious or quiet and vice versa.
If someone is not old then someone is both tall and not wise and vice versa.
Everyone who is either happy or kind is either not tall or not calm.
Everyone who is not patient is either humble or quiet and vice versa.
Everyon... | Alice is happy. | neutral | ((?[X]:((~wise(X)&curious(X))))<=>((~curious(mary)<~>quiet(mary))))&
((?[X]:(~old(X)))<=>(?[X]:((tall(X)&~wise(X)))))&
(![X]:((happy(X)<~>kind(X))=>(~tall(X)<~>~calm(X))))&
(![X]:(~patient(X)<=>(humble(X)<~>quiet(X))))&
(![X]:((rich(X)<~>~happy(X))<=>(generous(X)<~>tall(X))))&
(![X]:((tall(X)&curious(X))=>~strong(X)))&... | happy(alice) | [] | null | 0 |
Everyone who is either not calm or not quiet is old.
If paul is brave or generous then lucy is either not funny or wise.
If paul is both funny and tall then paul is either brave or happy and vice versa.
Everyone who is not funny or creative is not rich or not brave.
Everyone who is either not kind or calm is both not c... | Lucy is not old. | neutral | (![X]:((~calm(X)<~>~quiet(X))=>old(X)))&
(((brave(paul)|generous(paul)))=>((~funny(lucy)<~>wise(lucy))))&
(((funny(paul)&tall(paul)))<=>((brave(paul)<~>happy(paul))))&
(![X]:((~funny(X)|creative(X))=>(~rich(X)|~brave(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(~creative(X)&old(X))))&
((calm(lucy))<=>((~kind(paul)|~wise(paul)... | ~old(lucy) | [] | null | 0 |
If someone is not generous or not funny then mary is both not wise and not quiet.
Everyone who is not rich is both not rich and not happy and vice versa.
If john is either calm or not patient then someone is both not brave and strong.
If lucy is tall then someone is not happy and vice versa.
Everyone who is either not ... | Mary is kind. | contradiction | ((?[X]:((~generous(X)|~funny(X))))=>((~wise(mary)&~quiet(mary))))&
(![X]:(~rich(X)<=>(~rich(X)&~happy(X))))&
(((calm(john)<~>~patient(john)))=>(?[X]:((~brave(X)&strong(X)))))&
((tall(lucy))<=>(?[X]:(~happy(X))))&
(![X]:((~strong(X)<~>happy(X))<=>(humble(X)&~humble(X))))&
(((~generous(john)&calm(john)))<=>(?[X]:((curiou... | kind(mary) | [
"p5",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8923773551824560617468516
% SZS output start Proof for 8923773551824560617468516
6. (calm(john) & ~generous(john)) <=> ? [X0] : (quiet(X0) | curious(X0)) [input p5]
7. ! [X0] : (~calm(X0) <=> ~generous(X0)) [input p6]
10. ! [X0] : ((~quiet(X0) | ~curious(X0)) => (funny(X0) & ~patient(X0))... | 0 |
If someone is strong or not curious then fred is both quiet and old and vice versa. Everyone who is not generous or calm is either happy or brave and vice versa. Everyone who is both funny and not funny is kind and vice versa. Everyone who is not calm or calm is either kind or not calm and vice versa. If susan is both ... | Susan is generous. | neutral | ((?[X]:((strong(X)|~curious(X))))<=>((quiet(fred)&old(fred))))&
(![X]:((~generous(X)|calm(X))<=>(happy(X)<~>brave(X))))&
(![X]:((funny(X)&~funny(X))<=>kind(X)))&
(![X]:((~calm(X)|calm(X))<=>(kind(X)<~>~calm(X))))&
(((~quiet(susan)&curious(susan)))<=>(?[X]:((strong(X)<~>tall(X)))))&
((~quiet(susan))=>(?[X]:((~strong(X)&... | generous(susan) | [] | null | 0 |
If someone is both not creative and tall then someone is not generous or rich and vice versa.
If someone is either not tall or not patient then someone is not funny.
If lucy is not kind then john is both funny and not strong and vice versa.
Everyone who is tall is brave or not generous and vice versa.
Everyone who is e... | Lucy is not generous. | contradiction | ((?[X]:((~creative(X)&tall(X))))<=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:((~tall(X)<~>~patient(X))))=>(?[X]:(~funny(X))))&
((~kind(lucy))<=>((funny(john)&~strong(john))))&
(![X]:(tall(X)<=>(brave(X)|~generous(X))))&
(![X]:((curious(X)<~>rich(X))<=>(~wise(X)|~tall(X))))&
(((~tall(john)&funny(john)))<=>(?[X]:(~tall(X)... | ~generous(lucy) | [
"p3",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6531177541343389470880709
% SZS output start Proof for 6531177541343389470880709
4. ! [X0] : (tall(X0) <=> (~generous(X0) | brave(X0))) [input p3]
13. ! [X0] : ((calm(X0) | ~brave(X0)) => (wise(X0) & old(X0))) [input p12]
15. ! [X0] : (old(X0) <=> (generous(X0) & ~tall(X0))) [input p14]
1... | 0 |
If someone is either kind or funny then mary is kind or generous.
If alice is either generous or not old then someone is generous and vice versa.
Everyone who is both not old and curious is not patient or not strong.
Everyone who is not generous or not creative is both not kind and not tall.
If john is both quiet and c... | John is creative. | neutral | ((?[X]:((kind(X)<~>funny(X))))=>((kind(mary)|generous(mary))))&
(((generous(alice)<~>~old(alice)))<=>(?[X]:(generous(X))))&
(![X]:((~old(X)&curious(X))=>(~patient(X)|~strong(X))))&
(![X]:((~generous(X)|~creative(X))=>(~kind(X)&~tall(X))))&
(((quiet(john)&creative(john)))<=>(?[X]:(~brave(X))))&
(((~funny(mary)&happy(mar... | creative(john) | [] | null | 0 |
Everyone who is not happy or strong is not generous and vice versa.
If fred is both not tall and wise then mary is not rich.
Everyone who is either humble or not rich is not creative or not tall and vice versa.
Everyone who is patient or not quiet is both not kind and not rich and vice versa.
Everyone who is both humbl... | Fred is not tall. | entailment | (![X]:((~happy(X)|strong(X))<=>~generous(X)))&
(((~tall(fred)&wise(fred)))=>(~rich(mary)))&
(![X]:((humble(X)<~>~rich(X))<=>(~creative(X)|~tall(X))))&
(![X]:((patient(X)|~quiet(X))<=>(~kind(X)&~rich(X))))&
(![X]:((humble(X)&~strong(X))<=>(creative(X)<~>curious(X))))&
(![X]:((~creative(X)&~tall(X))<=>(quiet(X)|happy(X))... | ~tall(fred) | [
"p3",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6961147933479940372495046
% SZS output start Proof for 6961147933479940372495046
4. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (~rich(X0) & ~kind(X0))) [input p3]
6. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> (happy(X0) | quiet(X0))) [input p5]
12. ! [X0] : ((~kind(X0) <~> patient(X0)) => (~... | 0 |
Everyone who is both not quiet and tall is not rich or curious.
If alice is both not tall and creative then someone is calm and vice versa.
If someone is quiet then someone is either not funny or strong.
Everyone who is both strong and not old is not rich or not happy and vice versa.
Everyone who is both brave and not ... | Paul is not rich. | contradiction | (![X]:((~quiet(X)&tall(X))=>(~rich(X)|curious(X))))&
(((~tall(alice)&creative(alice)))<=>(?[X]:(calm(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((strong(X)&~old(X))<=>(~rich(X)|~happy(X))))&
(![X]:((brave(X)&~tall(X))<=>(generous(X)|~calm(X))))&
(![X]:((~generous(X)&quiet(X))<=>(generous(X)<~>~... | ~rich(paul) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2103304079484707738367509
% SZS output start Proof for 2103304079484707738367509
2. (creative(alice) & ~tall(alice)) <=> ? [X0] : calm(X0) [input p1]
4. ! [X0] : ((~old(X0) & strong(X0)) <=> (~happy(X0) | ~rich(X0))) [input p3]
5. ! [X0] : ((~tall(X0) & brave(X0)) <=> (~calm(X0) | generou... | 0 |
If lucy is tall then john is either funny or not rich and vice versa. If someone is quiet then susan is generous or not patient and vice versa. Everyone who is not kind or not humble is either tall or quiet and vice versa. If lucy is not calm or not funny then someone is curious and vice versa. If someone is both not f... | Lucy is brave. | entailment | ((tall(lucy))<=>((funny(john)<~>~rich(john))))&
((?[X]:(quiet(X)))<=>((generous(susan)|~patient(susan))))&
(![X]:((~kind(X)|~humble(X))<=>(tall(X)<~>quiet(X))))&
(((~calm(lucy)|~funny(lucy)))<=>(?[X]:(curious(X))))&
((?[X]:((~funny(X)&funny(X))))<=>(?[X]:(happy(X))))&
(![X]:((~kind(X)|~tall(X))<=>(old(X)|creative(X))))... | brave(lucy) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7303743658115021221299814
% SZS output start Proof for 7303743658115021221299814
7. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> ~generous(X0)) [input p6]
8. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> brave(X0)) [input p7]
25. ~brave(lucy) [input hypothesis]
56. ! [X0] : ((((~happy(X0) | happy... | 0 |
Everyone who is either brave or wise is patient. Everyone who is either not curious or happy is either strong or not tall and vice versa. If someone is not tall or not humble then alice is both not rich and calm and vice versa. Everyone who is both generous and not rich is either calm or not wise and vice versa. If mar... | Mary is not creative. | neutral | (![X]:((brave(X)<~>wise(X))=>patient(X)))&
(![X]:((~curious(X)<~>happy(X))<=>(strong(X)<~>~tall(X))))&
((?[X]:((~tall(X)|~humble(X))))<=>((~rich(alice)&calm(alice))))&
(![X]:((generous(X)&~rich(X))<=>(calm(X)<~>~wise(X))))&
(((~creative(mary)&~strong(mary)))=>(?[X]:((~funny(X)|~calm(X)))))&
(![X]:((~wise(X)|~rich(X))<=... | ~creative(mary) | [] | null | 0 |
Everyone who is not old or brave is wise or not old and vice versa. Everyone who is either not curious or curious is not strong and vice versa. If mary is not tall or not creative then paul is wise or not funny and vice versa. Everyone who is either curious or humble is both rich and not rich. Everyone who is both wise... | Fred is generous. | contradiction | (![X]:((~old(X)|brave(X))<=>(wise(X)|~old(X))))&
(![X]:((~curious(X)<~>curious(X))<=>~strong(X)))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:(~curious(X)))=>(?[X]:(kind(X))))&
((?[... | generous(fred) | [
"p1",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3008500183078384801830804
% SZS output start Proof for 3008500183078384801830804
2. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~strong(X0)) [input p1]
10. ! [X0] : (~humble(X0) => (~quiet(X0) & happy(X0))) [input p9]
14. ? [X0] : (~strong(X0) & generous(X0)) => quiet(fred) [input p13]
1... | 0 |
Everyone who is either generous or not generous is both strong and curious and vice versa. If someone is both brave and not quiet then fred is both not generous and not humble. Everyone who is either not kind or not wise is both not creative and calm. Everyone who is both not calm and not quiet is both not happy and no... | Lucy is quiet. | entailment | (![X]:((generous(X)<~>~generous(X))<=>(strong(X)&curious(X))))&
((?[X]:((brave(X)&~quiet(X))))=>((~generous(fred)&~humble(fred))))&
(![X]:((~kind(X)<~>~wise(X))=>(~creative(X)&calm(X))))&
(![X]:((~calm(X)&~quiet(X))<=>(~happy(X)&~rich(X))))&
(![X]:(~happy(X)<=>(~funny(X)<~>~humble(X))))&
(![X]:((~tall(X)<~>~generous(X)... | quiet(lucy) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3420792615435892404913815
% SZS output start Proof for 3420792615435892404913815
6. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> tall(X0)) [input p5]
15. ! [X0] : ((~wise(X0) | ~quiet(X0)) => (calm(X0) & generous(X0))) [input p14]
22. ~quiet(lucy) [input hypothesis]
33. ! [X0] : ((calm(X0)... | 0 |
If mary is either not generous or humble then someone is not humble and vice versa.
If mary is both funny and generous then someone is wise or not strong.
If susan is not strong or not quiet then someone is not rich or curious.
Everyone who is wise is both not wise and not old and vice versa.
Everyone who is either not... | Susan is not curious. | entailment | (((~generous(mary)<~>humble(mary)))<=>(?[X]:(~humble(X))))&
(((funny(mary)&generous(mary)))=>(?[X]:((wise(X)|~strong(X)))))&
(((~strong(susan)|~quiet(susan)))=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:(wise(X)<=>(~wise(X)&~old(X))))&
(![X]:((~curious(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
((?[X]:((creative(X)&brave(X)))... | ~curious(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 625236945073040690161182
% SZS output start Proof for 625236945073040690161182
10. ! [X0] : ((~curious(X0) & brave(X0)) <=> curious(X0)) [input p9]
23. curious(susan) [input hypothesis]
53. ! [X0] : (((~curious(X0) & brave(X0)) | ~curious(X0)) & (curious(X0) | (curious(X0) | ~brave(X0))))... | 0 |
Everyone who is either tall or strong is not generous and vice versa.
If someone is either not curious or old then someone is both not old and generous and vice versa.
If someone is both generous and not curious then someone is not funny and vice versa.
If john is creative or rich then someone is not strong.
If someone... | Paul is happy. | entailment | (![X]:((tall(X)<~>strong(X))<=>~generous(X)))&
((?[X]:((~curious(X)<~>old(X))))<=>(?[X]:((~old(X)&generous(X)))))&
((?[X]:((generous(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(((creative(john)|rich(john)))=>(?[X]:(~strong(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:((~happy(X)&rich(X)))))&
(![X]:((~patient(X)<~>~brave(X... | happy(paul) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7301538471136222096638716
% SZS output start Proof for 7301538471136222096638716
1. ! [X0] : ((tall(X0) <~> strong(X0)) <=> ~generous(X0)) [input p0]
5. ? [X0] : (strong(X0) & tall(X0)) => ? [X0] : (rich(X0) & ~happy(X0)) [input p4]
8. (rich(paul) & strong(paul)) <=> ? [X0] : (~creative(X... | 0 |
Everyone who is either not humble or humble is both not wise and not happy and vice versa.
Everyone who is not patient is not creative or kind and vice versa.
Everyone who is not funny or not creative is curious and vice versa.
Everyone who is not rich or not happy is creative or not patient.
Everyone who is either not... | Alice is old. | neutral | (![X]:((~humble(X)<~>humble(X))<=>(~wise(X)&~happy(X))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X))<=>curious(X)))&
(![X]:((~rich(X)|~happy(X))=>(creative(X)|~patient(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~brave(X)&generou... | old(alice) | [] | null | 0 |
If paul is creative then someone is not curious and vice versa.
If someone is either not kind or tall then someone is wise or not tall and vice versa.
Everyone who is rich is either not strong or not generous.
If mary is both not happy and not wise then someone is either rich or quiet and vice versa.
Everyone who is no... | Mary is old. | neutral | ((creative(paul))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)<~>tall(X))))<=>(?[X]:((wise(X)|~tall(X)))))&
(![X]:(rich(X)=>(~strong(X)<~>~generous(X))))&
(((~happy(mary)&~wise(mary)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:(~old(X)=>(~humble(X)<~>~happy(X))))&
(((generous(paul)<~>~quiet(paul)))<=>((happy(mary)|kind(mar... | old(mary) | [] | null | 0 |
Everyone who is strong is not old and vice versa. Everyone who is rich or not generous is not funny or strong. Everyone who is not patient or strong is both not rich and rich and vice versa. If someone is both strong and kind then someone is not tall or kind. Everyone who is patient is both quiet and not kind. Everyone... | Mary is happy. | entailment | (![X]:(strong(X)<=>~old(X)))&
(![X]:((rich(X)|~generous(X))=>(~funny(X)|strong(X))))&
(![X]:((~patient(X)|strong(X))<=>(~rich(X)&rich(X))))&
((?[X]:((strong(X)&kind(X))))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(patient(X)=>(quiet(X)&~kind(X))))&
(![X]:(~patient(X)<=>(quiet(X)<~>wise(X))))&
(![X]:((~humble(X)&strong(X))<=... | happy(mary) | [
"p2",
"p4",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 529605563524664353205911
% SZS output start Proof for 529605563524664353205911
3. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (rich(X0) & ~rich(X0))) [input p2]
5. ! [X0] : (patient(X0) => (~kind(X0) & quiet(X0))) [input p4]
6. ! [X0] : (~patient(X0) <=> (quiet(X0) <~> wise(X0))) [input p5]... | 0 |
Everyone who is creative is not strong.
If lucy is strong then fred is both not strong and patient and vice versa.
If someone is both not brave and rich then alice is both not kind and wise and vice versa.
If mary is both brave and strong then susan is humble and vice versa.
Everyone who is both funny and curious is bo... | Paul is not calm. | neutral | (![X]:(creative(X)=>~strong(X)))&
((strong(lucy))<=>((~strong(fred)&patient(fred))))&
((?[X]:((~brave(X)&rich(X))))<=>((~kind(alice)&wise(alice))))&
(((brave(mary)&strong(mary)))<=>(humble(susan)))&
(![X]:((funny(X)&curious(X))=>(~kind(X)&~humble(X))))&
(![X]:(~humble(X)=>(~funny(X)<~>~patient(X))))&
(![X]:(brave(X)<=>... | ~calm(paul) | [] | null | 0 |
Everyone who is both not kind and quiet is either creative or not creative and vice versa. If someone is patient then someone is both not patient and not strong. If someone is both not rich and not calm then someone is not funny or curious and vice versa. Everyone who is calm or kind is rich or not rich. If someone is ... | Susan is strong. | neutral | (![X]:((~kind(X)&quiet(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:(patient(X)))=>(?[X]:((~patient(X)&~strong(X)))))&
((?[X]:((~rich(X)&~calm(X))))<=>(?[X]:((~funny(X)|curious(X)))))&
(![X]:((calm(X)|kind(X))=>(rich(X)|~rich(X))))&
((?[X]:((strong(X)&generous(X))))<=>(?[X]:((~wise(X)<~>funny(X)))))&
(![X]:((funny(X)&~... | strong(susan) | [] | null | 0 |
If alice is not curious or not brave then someone is either calm or brave.
Everyone who is strong is quiet or funny and vice versa.
Everyone who is not rich is either calm or not strong.
Everyone who is both humble and calm is either not wise or quiet and vice versa.
Everyone who is wise is strong or creative and vice ... | John is wise. | entailment | (((~curious(alice)|~brave(alice)))=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:(strong(X)<=>(quiet(X)|funny(X))))&
(![X]:(~rich(X)=>(calm(X)<~>~strong(X))))&
(![X]:((humble(X)&calm(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:(wise(X)<=>(strong(X)|creative(X))))&
(![X]:((~generous(X)|kind(X))=>happy(X)))&
(![X]:((creative(X)|~stron... | wise(john) | [
"p1",
"p3",
"p4",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1146261803762627519953523
% SZS output start Proof for 1146261803762627519953523
2. ! [X0] : (strong(X0) <=> (funny(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((calm(X0) & humble(X0)) <=> (~wise(X0) <~> quiet(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (creative(X0) | strong(X0))) [input p4]... | 0 |
If susan is not curious or curious then someone is both tall and not rich.
If susan is not rich then mary is generous or curious.
If john is both not happy and not curious then alice is not humble.
Everyone who is not humble is both patient and tall and vice versa.
Everyone who is either curious or generous is both not... | John is happy. | neutral | (((~curious(susan)|curious(susan)))=>(?[X]:((tall(X)&~rich(X)))))&
((~rich(susan))=>((generous(mary)|curious(mary))))&
(((~happy(john)&~curious(john)))=>(~humble(alice)))&
(![X]:(~humble(X)<=>(patient(X)&tall(X))))&
(![X]:((curious(X)<~>generous(X))<=>(~strong(X)&brave(X))))&
(![X]:(generous(X)=>(~old(X)<~>curious(X)))... | happy(john) | [] | null | 0 |
If someone is calm then someone is brave and vice versa.
Everyone who is both quiet and patient is both not kind and not patient.
Everyone who is happy is both rich and old.
If lucy is not old or rich then someone is not brave or brave and vice versa.
Everyone who is not funny or not humble is not happy.
Everyone who i... | Fred is not kind. | entailment | ((?[X]:(calm(X)))<=>(?[X]:(brave(X))))&
(![X]:((quiet(X)&patient(X))=>(~kind(X)&~patient(X))))&
(![X]:(happy(X)=>(rich(X)&old(X))))&
(((~old(lucy)|rich(lucy)))<=>(?[X]:((~brave(X)|brave(X)))))&
(![X]:((~funny(X)|~humble(X))=>~happy(X)))&
(![X]:(~generous(X)=>(~funny(X)|~creative(X))))&
(![X]:((happy(X)|old(X))=>(brave(... | ~kind(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5609879012866675282642053
% SZS output start Proof for 5609879012866675282642053
12. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (kind(X0) | wise(X0))) [input p11]
25. kind(fred) [input hypothesis]
58. ! [X0] : (((~creative(X0) & ~kind(X0)) | (~kind(X0) & ~wise(X0))) & ((kind(X0) | wise(X0)... | 0 |
If fred is not tall then someone is not kind or kind and vice versa. Everyone who is rich or not happy is either not curious or not calm and vice versa. Everyone who is calm is either curious or strong. If mary is curious or kind then paul is not patient. Everyone who is not strong or patient is not generous and vice v... | Lucy is generous. | neutral | ((~tall(fred))<=>(?[X]:((~kind(X)|kind(X)))))&
(![X]:((rich(X)|~happy(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:(calm(X)=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lucy)|funny(lucy)))<=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~humbl... | generous(lucy) | [] | null | 0 |
If lucy is generous or not rich then mary is not calm or not wise and vice versa.
If someone is both not old and not kind then fred is both not wise and humble and vice versa.
If someone is both rich and not creative then mary is both old and tall and vice versa.
If paul is not brave or funny then alice is both patient... | Lucy is not funny. | neutral | (((generous(lucy)|~rich(lucy)))<=>((~calm(mary)|~wise(mary))))&
((?[X]:((~old(X)&~kind(X))))<=>((~wise(fred)&humble(fred))))&
((?[X]:((rich(X)&~creative(X))))<=>((old(mary)&tall(mary))))&
(((~brave(paul)|funny(paul)))=>((patient(alice)&~creative(alice))))&
(![X]:((~curious(X)&~calm(X))=>(~brave(X)|~curious(X))))&
(![X]... | ~funny(lucy) | [] | null | 0 |
If fred is not wise then john is both rich and not curious. Everyone who is not wise is not wise or not brave. Everyone who is both not quiet and brave is generous or quiet and vice versa. If paul is either strong or not calm then fred is both not creative and not humble. If paul is not generous then fred is not old an... | Fred is quiet. | contradiction | ((~wise(fred))=>((rich(john)&~curious(john))))&
(![X]:(~wise(X)=>(~wise(X)|~brave(X))))&
(![X]:((~quiet(X)&brave(X))<=>(generous(X)|quiet(X))))&
(((strong(paul)<~>~calm(paul)))=>((~creative(fred)&~humble(fred))))&
((~generous(paul))<=>(~old(fred)))&
(![X]:((~creative(X)<~>~rich(X))=>(humble(X)|quiet(X))))&
((~brave(mar... | quiet(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6233496618170971296550046
% SZS output start Proof for 6233496618170971296550046
3. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (quiet(X0) | generous(X0))) [input p2]
25. quiet(fred) [input hypothesis]
42. ! [X0] : (((brave(X0) & ~quiet(X0)) | (~quiet(X0) & ~generous(X0))) & ((quiet(X0) | gene... | 0 |
Everyone who is either not old or old is both brave and kind and vice versa. Everyone who is happy or not patient is not patient. Everyone who is both not quiet and not brave is not patient or funny. Everyone who is both not calm and creative is not humble or not creative and vice versa. Everyone who is either wise or ... | Alice is funny. | entailment | (![X]:((~old(X)<~>old(X))<=>(brave(X)&kind(X))))&
(![X]:((happy(X)|~patient(X))=>~patient(X)))&
(![X]:((~quiet(X)&~brave(X))=>(~patient(X)|funny(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)|~creative(X))))&
(![X]:((wise(X)<~>~quiet(X))=>~patient(X)))&
(![X]:((~creative(X)<~>~kind(X))<=>(rich(X)|~patient(X))))&
((... | funny(alice) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8552590718890994033531456
% SZS output start Proof for 8552590718890994033531456
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> (kind(X0) & brave(X0))) [input p0]
4. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~creative(X0) | ~humble(X0))) [input p3]
6. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> ... | 0 |
Everyone who is both not creative and not strong is both happy and not tall and vice versa.
If lucy is either not generous or creative then someone is both not kind and not quiet.
If alice is either not rich or not patient then someone is not strong and vice versa.
Everyone who is either not curious or tall is not curi... | Mary is not calm. | neutral | (![X]:((~creative(X)&~strong(X))<=>(happy(X)&~tall(X))))&
(((~generous(lucy)<~>creative(lucy)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(((~rich(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((~curious(X)<~>tall(X))=>(~curious(X)|~strong(X))))&
(((~funny(susan)|quiet(susan)))=>(?[X]:(~rich(X))))&
(![X]:((~quiet(X)<... | ~calm(mary) | [] | null | 0 |
If alice is wise then lucy is both not happy and not quiet.
Everyone who is both quiet and rich is rich or generous.
Everyone who is either generous or not curious is not tall or not strong and vice versa.
Everyone who is patient or not happy is either generous or not wise and vice versa.
Everyone who is brave is eithe... | Lucy is not rich. | neutral | ((wise(alice))=>((~happy(lucy)&~quiet(lucy))))&
(![X]:((quiet(X)&rich(X))=>(rich(X)|generous(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~tall(X)|~strong(X))))&
(![X]:((patient(X)|~happy(X))<=>(generous(X)<~>~wise(X))))&
(![X]:(brave(X)=>(generous(X)<~>~wise(X))))&
(![X]:((creative(X)&~brave(X))<=>(~brave(X)&wise(X)))... | ~rich(lucy) | [] | null | 0 |
Everyone who is either old or not quiet is either brave or humble.
If someone is either brave or happy then alice is either not calm or funny and vice versa.
If alice is not happy or curious then susan is brave or tall and vice versa.
If someone is both kind and not humble then susan is not patient or not tall.
Everyon... | Susan is not brave. | contradiction | (![X]:((old(X)<~>~quiet(X))=>(brave(X)<~>humble(X))))&
((?[X]:((brave(X)<~>happy(X))))<=>((~calm(alice)<~>funny(alice))))&
(((~happy(alice)|curious(alice)))<=>((brave(susan)|tall(susan))))&
((?[X]:((kind(X)&~humble(X))))=>((~patient(susan)|~tall(susan))))&
(![X]:((generous(X)<~>old(X))<=>(~funny(X)&humble(X))))&
(![X]:... | ~brave(susan) | [
"p0",
"p4",
"p5",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1751886581699038881718024
% SZS output start Proof for 1751886581699038881718024
1. ! [X0] : ((old(X0) <~> ~quiet(X0)) => (brave(X0) <~> humble(X0))) [input p0]
5. ! [X0] : ((generous(X0) <~> old(X0)) <=> (humble(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((~old(X0) & strong(X0)) <=> (~cre... | 0 |
Everyone who is not curious is either generous or tall and vice versa. If lucy is either happy or not humble then someone is both tall and patient and vice versa. If someone is either not happy or not quiet then someone is generous or not creative. Everyone who is not rich or old is both not quiet and not calm. Everyon... | John is kind. | neutral | (![X]:(~curious(X)<=>(generous(X)<~>tall(X))))&
(((happy(lucy)<~>~humble(lucy)))<=>(?[X]:((tall(X)&patient(X)))))&
((?[X]:((~happy(X)<~>~quiet(X))))=>(?[X]:((generous(X)|~creative(X)))))&
(![X]:((~rich(X)|old(X))=>(~quiet(X)&~calm(X))))&
(![X]:((~tall(X)|old(X))<=>(funny(X)<~>~humble(X))))&
((?[X]:((~kind(X)<~>wise(X))... | kind(john) | [] | null | 0 |
If someone is strong or not quiet then someone is not funny or tall and vice versa.
If someone is either not old or not creative then mary is either not happy or not quiet.
If susan is both not happy and funny then john is patient and vice versa.
If someone is not curious then someone is not wise.
Everyone who is eithe... | John is not kind. | neutral | ((?[X]:((strong(X)|~quiet(X))))<=>(?[X]:((~funny(X)|tall(X)))))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((?[X]:(~curious(X)))=>(?[X]:(~wise(X))))&
(![X]:((strong(X)<~>~calm(X))=>(rich(X)<~>~wise(X))))&
(![X]:((humble(X)|rich(X))<=>(wise(... | ~kind(john) | [] | null | 0 |
Everyone who is both not creative and happy is not tall.
If someone is not happy or creative then fred is generous.
If someone is either tall or not brave then alice is either strong or not generous and vice versa.
Everyone who is not strong or not humble is happy or tall.
If mary is brave or tall then someone is old.
... | Mary is humble. | contradiction | (![X]:((~creative(X)&happy(X))=>~tall(X)))&
((?[X]:((~happy(X)|creative(X))))=>(generous(fred)))&
((?[X]:((tall(X)<~>~brave(X))))<=>((strong(alice)<~>~generous(alice))))&
(![X]:((~strong(X)|~humble(X))=>(happy(X)|tall(X))))&
(((brave(mary)|tall(mary)))=>(?[X]:(old(X))))&
(![X]:(~humble(X)<=>(~calm(X)<~>calm(X))))&
((~r... | humble(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3183610990395799755477994
% SZS output start Proof for 3183610990395799755477994
6. ! [X0] : (~humble(X0) <=> (~calm(X0) <~> calm(X0))) [input p5]
24. humble(mary) [input hypothesis]
45. ! [X0] : ((~humble(X0) | ((~calm(X0) | ~calm(X0)) & (calm(X0) | calm(X0)))) & (((~calm(X0) | calm(X0))... | 0 |
If mary is either not old or patient then someone is not wise or not strong and vice versa. Everyone who is happy is both not curious and funny and vice versa. If alice is both not tall and not happy then someone is not brave or brave and vice versa. Everyone who is not curious is humble or not old. If mary is either h... | Mary is not wise. | entailment | (((~old(mary)<~>patient(mary)))<=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:(happy(X)<=>(~curious(X)&funny(X))))&
(((~tall(alice)&~happy(alice)))<=>(?[X]:((~brave(X)|brave(X)))))&
(![X]:(~curious(X)=>(humble(X)|~old(X))))&
(((humble(mary)<~>~wise(mary)))<=>(?[X]:(~tall(X))))&
(![X]:((generous(X)|curious(X))<=>happy(X)))&
... | ~wise(mary) | [
"p2",
"p4",
"p6",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 413716705120252124864994
% SZS output start Proof for 413716705120252124864994
3. (~happy(alice) & ~tall(alice)) <=> ? [X0] : (brave(X0) | ~brave(X0)) [input p2]
5. (humble(mary) <~> ~wise(mary)) <=> ? [X0] : ~tall(X0) [input p4]
7. ! [X0] : (~kind(X0) => (~brave(X0) & ~old(X0))) [input p... | 0 |
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